{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "import seaborn as sns\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "matplotlib.rc(\"font\",family='FangSong')\n",
    "from  utils import column_letter_to_index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_path = '../data/raw_data/334份 按选项序号 汇总变量后.xlsx'\n",
    "\n",
    "df = pd.read_excel(data_path)  \n",
    "\n",
    "y_index_list = [column_letter_to_index(each) for each in ['AT','CG','CH','CI']]\n",
    "\n",
    "#先找到因变量\n",
    "df_y = df[df.columns[y_index_list]]\n",
    "# 去除自变量\n",
    "df_x = df.drop(df.columns[y_index_list], axis=1) # 自变量\n",
    "# 去除第一列\n",
    "df = df.drop(df.columns[0], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\software\\anaconda\\loc\\Lib\\site-packages\\seaborn\\utils.py:80: UserWarning: Glyph 8722 (\\N{MINUS SIGN}) missing from current font.\n",
      "  fig.canvas.draw()\n",
      "d:\\software\\anaconda\\loc\\Lib\\site-packages\\IPython\\core\\pylabtools.py:152: UserWarning: Glyph 8722 (\\N{MINUS SIGN}) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr_matrix = df_y.corr()\n",
    "\n",
    "# 可视化协方差矩阵\n",
    "sns.heatmap(corr_matrix, annot=True, cmap='coolwarm', square=True)\n",
    "plt.title('Correlation Matrix')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
